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Complete f-moment convergence for weighted sums of asymptotically almost negatively associated random variables and its application in semiparametric regression models.
- Source :
- Stochastics: An International Journal of Probability & Stochastic Processes; Dec2023, Vol. 95 Issue 8, p1510-1535, 26p
- Publication Year :
- 2023
-
Abstract
- In this paper, we investigate the complete f-moment convergence for weighted sums of asymptotically almost negatively associated (AANA, for short) random variables. Our results improve and generalize the corresponding ones of [M.M. Xi, X. Deng, X.J. Wang, and Z.Y. Cheng, L p convergence and complete convergence for weighted sums of AANA random variables, Commun. Stat. Theory Methods 47(22) (2018), pp. 5604–5613]. As an application of our main results, some results on the complete consistency for the estimator in semiparametric regression models are obtained and a simulation study is provided to assess the finite sample performance of the theoretical results. [ABSTRACT FROM AUTHOR]
- Subjects :
- RANDOM variables
REGRESSION analysis
Subjects
Details
- Language :
- English
- ISSN :
- 17442508
- Volume :
- 95
- Issue :
- 8
- Database :
- Complementary Index
- Journal :
- Stochastics: An International Journal of Probability & Stochastic Processes
- Publication Type :
- Academic Journal
- Accession number :
- 173687983
- Full Text :
- https://doi.org/10.1080/17442508.2023.2229644